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arXiv · 1211.2251

Independent subsets of powers of paths, and Fibonacci cubes

Pietro Codara·Ottavio M. D'Antona
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Abstract

We provide a formula for the number of edges of the Hasse diagram of the independent subsets of the h-th power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube. We show that, in general, the number of edges of the diagram is obtained by convolution of a Fibonacci-like sequence with itself.

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Pietro Codara, Ottavio M. D'Antona. 2012-11-09. Independent subsets of powers of paths, and Fibonacci cubes. https://doi.org/10.1016/j.endm.2013.05.013

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